There are 5 couples are sitting in the row
<h3>How many couples are sitting in the row?.</h3>
The given parameters are
Maximum = 6 couples
In the hall, we have the following arrangements
<u>First couple</u>
Right = 2 couples
Left = 1 couple
<u>Another couple</u>
Left = 3 couple
Right = 1 couples
The left of the other couple is the right of the first couple
So, we have the following arrangements:
<u>First couple (1)</u>
Right = 2 couples
Left = 1 couple
<u>Another couple</u>
Right = 1 couples
The total number of couples is
Total = 1 + 2 + 1 + 1
Evaluate the sum
Total = 5
Hence, there are 5 couples are sitting in the row
Read more about combination at:
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<span>y+4=2/3(x+7)
</span><span>Multiplying both sides by the denominator which is 3:
</span>3(y+4) = 3(2/3) * (x+7)
3y+12=2x+14
Subtract 3y:
12 = 2x - 3y + 14
Subtract 14
-2 = 2x - 3y
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.
For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16
For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9
Answer:
recursive rule for the given sequence:
for n > 2
Step-by-step explanation:
Given the sequence:
7, 6, 13, 19, 32, ......
then;
First term
= 7
Second term 
=6
third term 
= 13 and so on..
You can see that:
similarly for:
and so on..
The recursive rule for this sequence is:
for n > 2
16 times 3.14 is 49.6 that’s the answer
